Oh no no, definitely not as good to pop it in all at once. You get so much less out of the experience. Whether you suck out the cream or not, it's best to take it in bites

As an American in London a few summers ago, I found it very wierd to be able to buy a Cadbury egg in mid-July. It just wasn't right. Plus, it melted a bit which just made it worse.
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Matt